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Finding the Fourth Proportional to 539,687.54, 809,770.05 and 283,459.83

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Solution

The fourth proportional to 539,687.54, 809,770.05 and 283,459.83 is: 425,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,687.54 : 809,770.05 = 283,459.83 : x
  2. Step 2: Convert to fraction form
    539,687.54/809,770.05 = 283,459.83/x
  3. Step 3: Cross multiply
    539,687.54x = 809,770.05 × 283,459.83
  4. Step 4: Simplify right side
    539,687.54x = 229,537,280,712.09
  5. Step 5: Solve for x
    x = 229,537,280,712.09/539,687.54
  6. Step 6: Final answer
    x = 425,315.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.